IDEAS home Printed from https://ideas.repec.org/a/eee/jmacro/v30y2008i3p873-884.html
   My bibliography  Save this article

Some foundations for multiplicative habits models

Author

Listed:
  • Hiraguchi, Ryoji

Abstract

Consumption models with multiplicative habits are becoming increasingly popular. However, mathematical foundations of such models are incomplete because the utility function with multiplicative habits is not concave. This paper shows that an optimal consumption path exists and it satisfies the first order conditions. The paper also shows that when the production function is linear, consumption growth rate along the optimal path converges to a positive constant under several parametric restrictions.

Suggested Citation

  • Hiraguchi, Ryoji, 2008. "Some foundations for multiplicative habits models," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 873-884, September.
    • Handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:873-884
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0164-0704(07)00098-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
    2. Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005. "Growth, habit formation, and catching-up with the Joneses," European Economic Review, Elsevier, vol. 49(6), pages 1665-1691, August.
    3. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, December.
    4. Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
    5. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, September.
    6. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, March.
    7. Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
    8. repec:jhu:papers:357 is not listed on IDEAS
    9. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    10. Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Morhaim, Lisa & Ulus, Ayşegül Yıldız, 2023. "On history-dependent optimization models: A unified framework to analyze models with habits, satiation and optimal growth," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    2. Gómez, Manuel A., 2021. "On the closed-form solution of an endogenous growth model with anticipated consumption," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    3. Gomez Suarez, Manuel A., 2008. "Utility and production externalities, equilibrium efficiency and leisure specification," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1496-1519, December.
    4. Gómez, Manuel A. & Monteiro, Goncalo, 2015. "Internal habits in an endogenous growth model with elastic labor supply," Economic Modelling, Elsevier, vol. 51(C), pages 583-595.
    5. Gómez Manuel A., 2010. "Endogenous Growth, Habit Formation and Convergence Speed," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-32, January.
    6. Lisa Morhaim & Ayşegül Yıldız Ulus, 2023. "On history-dependent optimization models: A unified framework to analyze models with habits, satiation and optimal growth," Post-Print hal-04103627, HAL.
    7. Hiraguchi, Ryoji, 2011. "A two sector endogenous growth model with habit formation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 430-441, April.
    8. Shinya Tsukahara, 2017. "Habit formation, growth, and Ramsey's conjecture," Economics Bulletin, AccessEcon, vol. 37(4), pages 2871-2880.
    9. van den Bijgaart, Inge, 2016. "Essays in environmental economics and policy," Other publications TiSEM 298bee2a-cb08-4173-9fe1-8, Tilburg University, School of Economics and Management.
    10. van den Bijgaart, I.M., 2017. "Too slow a change? Deep habits, consumption shifts and transitory tax," Working Papers in Economics 701, University of Gothenburg, Department of Economics.
    11. Manuel Gómez, 2010. "A note on external habits and efficiency in the AK model," Journal of Economics, Springer, vol. 99(1), pages 53-64, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hiraguchi, Ryoji, 2011. "A two sector endogenous growth model with habit formation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 430-441, April.
    2. Gómez, Manuel A. & Monteiro, Goncalo, 2015. "Internal habits in an endogenous growth model with elastic labor supply," Economic Modelling, Elsevier, vol. 51(C), pages 583-595.
    3. Jaime Alonso‐Carrera & Jordi Caballé & Xavier Raurich, 2004. "Consumption Externalities, Habit Formation and Equilibrium Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 231-251, June.
    4. van den Bijgaart, I.M., 2017. "Too slow a change? Deep habits, consumption shifts and transitory tax," Working Papers in Economics 701, University of Gothenburg, Department of Economics.
    5. Strulik, Holger, 2015. "Preferences, income, and life satisfaction: An equivalence result," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 20-26.
    6. Johdo, Wataru, 2009. "Habit persistence and stagnation," Economic Modelling, Elsevier, vol. 26(5), pages 1110-1114, September.
    7. Ali Choudhary & Paul Levine, 2006. "The 24/7 Society and Multiple Habits," School of Economics Discussion Papers 0506, School of Economics, University of Surrey.
    8. Inge van den Bijgaart, 2018. "Too Slow a Change? Deep Habits, Consumption Shifts and Transitory Tax Policy," CESifo Working Paper Series 6958, CESifo.
    9. Takeo Hori, 2011. "The effects of consumption externalities in an R&D-based growth model with endogenous skilled and unskilled labor supply," Journal of Economics, Springer, vol. 102(1), pages 29-55, January.
    10. Jaime Alonso-Carrera & Jordi Caball?Author-Email: jordi.caballe@uab.es & Xavier Raurich, 2001. "Income Taxation with Habit Formation and Consumption Externalities," UFAE and IAE Working Papers 496.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    11. repec:grz:wpaper:2014-09 is not listed on IDEAS
    12. Hyeon O. Lee & Hyun Park, 2015. "Indeterminate Balanced Growth under Habit Persistence and Fiscal Policies," International Economic Journal, Taylor & Francis Journals, vol. 29(2), pages 259-284, June.
    13. van den Bijgaart, Inge, 2016. "Essays in environmental economics and policy," Other publications TiSEM 298bee2a-cb08-4173-9fe1-8, Tilburg University, School of Economics and Management.
    14. Strulik, Holger, 2008. "Comparing Consumption: A Curse or a Blessing?," Hannover Economic Papers (HEP) dp-382, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    15. Ghosh, Sugata & Wendner, Ronald, 2014. "Positional Preferences, Endogenous Growth, and Optimal Income- and Consumption Taxation," MPRA Paper 60337, University Library of Munich, Germany.
    16. Holger Strulik, 2015. "How Status Concerns Can Make Us Rich and Happy," Economica, London School of Economics and Political Science, vol. 82, pages 1217-1240, December.
    17. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    18. Gómez, Manuel A., 2021. "On the closed-form solution of an endogenous growth model with anticipated consumption," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    19. Wei Wang, 2021. "Observational equivalence of balanced growth with external habit formation," Australian Economic Papers, Wiley Blackwell, vol. 60(3), pages 424-434, September.
    20. Cecilia García-Peñalosa & Stephen Turnovsky, 2008. "Consumption externalities: a representative consumer model when agents are heterogeneous," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 439-467, December.
    21. Turnovsky, Stephen J. & Monteiro, Goncalo, 2007. "Consumption externalities, production externalities, and efficient capital accumulation under time non-separable preferences," European Economic Review, Elsevier, vol. 51(2), pages 479-504, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:873-884. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622617 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.